Suppose each edge of the cube shown in the figure is 800 inc

Suppose each edge of the cube shown in the figure is 8.00 inches long. Find the measure of the angle formed by diagonals CF and CH. Round your answer to the nearest tenth of a degree.

Solution

Solution:

Edge of cube = 8 inch

diagonal CF = CH = (8^2 + 8^2) = 128 = 82 (By Pythagorean theorem)

measure of angle = tan^-1 (8/82) = tan^-1 (1/2) = 35.3 degree